Step-1 : Multiply the coefficient of the first term by the constant 3 • -20 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
3x2 - 15x + 4x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-5)
Add up the last 2 terms, pulling out common factors :
4 • (x-5)
Step-5 : Add up the four terms of step 4 :
(3x+4) • (x-5)
Which is the desired factorization
what is the solution of this equation?
2y=24
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]what is the slope of the line
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?
Answer:
3.75
Step-by-step explanation:
If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75
I need these answers
Answer:
1) x = 14.14
2) 2
Step-by-step explanation:
1) sin(45°) = x/20
sin(45°) · 20 = x
x = 14.14
2) Since PST are double the size of PQR it would just be a scale factor of 2
Can some one help in thsi with the steps required
Answer: 24.5 m² ( area)
Step-by-step explanation:
See , Total area of wall is given - length , 6m - width/breadth , 5m
so , Area of total wall = l x b = 6*5 = 30m²
so , there is a window whose length is 2 meters and breadth/width of 0.5m
so , Area of window = l x b = 1m²
So , area of door = length , 3 - Width/breadth- 0.5 m²
So , Area of door = 3* 1.5 = 4.5
Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .
= total area of wall - area of window and door
30m²-1m²-4.5
So as a result , we get a total area of the wall without the window and door to be painted as 24.5m²
Find the perimeter. Simplify your answer.
$360 is shared among hannah , Ryan and Kelly in ratio 2:3:5 . how much less will hannah receive than kelly?
Answer:
$108 less
Step-by-step explanation:
2 + 3 + 5 = 10 parts
each part is 360/10 = $36
Hanna has 5 - 2 = 3 parts less than Kelly
3 * 36 = 108
$108 less
What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5
Answer:
Hello!
After reviewing the question you have provided, I came up with the correct answer:
C) 2
Step-by-step explanation:
Firstly:
As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.
When you round the two numbers you should come up with "3-1= ____".
This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.
So 3.2 rounds to 3
And 1.4 rounds to 1.
With the new equation you can then solve "3-1= 2"!
Hope this helps!
Write 2549 correct to the nearest 10
Answer:
2550
Step-by-step explanation:
The graph of a function f is shown below.
Find f (2)
Answer: f(2) is 3.
Step-by-step explanation:
f(2) just means "what is the vale of the function, f, when x = 2? Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3. So f(2) = 3.
======
[One could also determine the equation for the line. Provided below.]
The slope is -(1/2) and the y-intercept is 4:
y = -(1/2)x + 4
For x=2,
y = -(1/2)*(2) + 4
y = 3
y(2) = 3
Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?
b) Find the fraction of the watermelon that remains.
Answer:
A) Second, as 3/8 is larger than 1/3.
B) 7/24
Step-by-step explanation:
3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.
9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.
express \sqrt{3} - \frac{2}{\sqrt{3} } [tex]\sqrt{3} - \frac{2}{\sqrt{3} }[/tex]
[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]
ok done. thank to me :>
60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b
Answer:
a=2.55
b=0.576
c=912.87
f=2.295
Step-by-step explanation:
=15/100*17
=2.55
=17/100*15
=2.55
=1.2/100*48
=0.576
=12/100*480
=57.6
=147/100*621
=912.87
=125/100*549
=686.25
=80/100*2.55
=2.04
=40/100*2a
=40/100*(2*2.55)
=0.4*(5.1)
=2.04
=36/100*2.5(2.55)
=0.36*6.375
=2.295
=1.5/100*80(2.55)
=0.015*(204)
=3.06
Please help me I do not understand what to do or what the answer is.
Answer:
the slope is
2/3x+2
Hope This Helps!!!
What is the value of x?
Answer:
sine 60 = x / 8
(8 * 0.86603) = x
x = 6.92824
Step-by-step explanation:
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?
(A) 5yards
(B) 7yards
(C) 8yards
(D) 10yards
(E) 17yards
Rewrite 4/6 and 1/3 as a unite rate
Answer: B
Step-by-step explanation: Hope this helps :)
4x squared plus 20x minus 24 pls
The Answer will equal 4(x-1)(x-6)
Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x
Answer:
4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.
Step-by-step explanation:
4x^2+20x-24
16x+20x-24
36x-24
12x
8m - 8 - 8 = 16
equation
Answer:
8m-16 =16
8m=16+16
8m =32
m=32/8
m=4
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
Tell whether the given value is a solution of the inequality.
Answer:
Step-by-step explanation:
8p < -3
if p = -2
8* -2 < -3
-16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3
Solve for h.
h - 6 =
=
7
Answer:
h = 13Step-by-step explanation:
Solve for h.
h - 6 = 7
h = 7 + 6
h = 13
------------------
check
13 - 6 = 7
7 = 7
the answer is good
So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.
6+7=13
13-6=7
and h=13
Easy, huh?
Can you please help me I need to pass for my basketball game Tuesday please help if I don’t pass i can’t play !!
Answer:
x = 17
Step-by-step explanation:
The two given angles are supplementary angles, but also all angles on a straight light must add up to 180°:
3x + 14 + 7x - 4 = 180
Add like terms
3x + 7x + 14 - 4 = 180
10x + 10 = 180
Subtract 10 from both sides to isolate 10x:
10x + 10 - 10 = 180 - 10
10x = 170
Divide both sides by 10:
10x ÷ 10 = 170 ÷ 10
x = 17
Hope this helps!
A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?
~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
F(4p + 3) = 8 - 5(4p + 3)
=============================
[tex]\large\bold{Equation:}[/tex]
[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex][tex]\large\bold{Solution:}[/tex]
Let's solve for f
[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]
1st step: Factor out variable f
[tex]\large\sf{F(4p+3)=−20p−7}[/tex]2nd step: Divide both sides by 4p+3
[tex]\large\sf{ \frac{F(4p + 3)}{4p + 3} = \frac{ - 20p - 7}{4p + 3} }[/tex][tex]\large\sf{F = \frac{ - 20p - 7}{4p + 3} }[/tex][tex]\large\bold{Answer:}[/tex]
[tex]\large\tt{F = \frac{ - 20p - 7}{4p + 3} }[/tex]===================================
How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!
^^
1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.
Answer:
16.49%
Step-by-step explanation:
0.97+16.49%=1.129953
The percentage increase is 16.49%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100)
We are given that the price of a newspaper increased from $0.97 to $1.13
WE need to find the percentage increase.
Therefore,
Intital price = 0.97 ( 1.13 - 0.07)
= 0.16 / 0.97 x 100
= 16/0.97
= 16.49
0.97+16.49% = 1.129953
Learn more about percent here:
https://brainly.com/question/11549320
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i have to make an equation for example
Answer:
Both of them are Non-Proportional since none are touching 0. I'm not sure if you're looking for Proportionality.
Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.
Answer:
[tex]2(w-7) < 30[/tex]
Step-by-step explanation:
Twice is translate as multiply by 2The different is the subtraction between [tex]w[/tex] and 7at most 30 is equal to say that can't be greater than 30Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]
Answer:
2w+14<(with the line under the <)30
Step-by-step explanation:
Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
Learn more about the Lines here:
brainly.com/question/14511992
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